# Write an expression for the nth term of the sequence 10,22,34,46,.... 1. 12n-2\\2. 24n+2\\3....

## Question:

Write an expression for the nth term of the sequence {eq}10,22,34,46,.... {/eq}

{eq}1.) \ 12n-2 \\ 2.) \ 24n+2 \\ 3.) \ 10n+12 \\ 4.) \ 12n+2 \\ 5.) \ 14n-12 {/eq}

## Arithmetic Sequence

An arithmetic sequence is a type of sequence in which the difference of a term and its preceding term is a constant. This constant value is known as the common difference in the sequence. Mathematically, it is denoted by {eq}\displaystyle a_{n}=a_{1}+\left ( n-1 \right )d {/eq} where {eq}\displaystyle a_{n} {/eq} represents the nth term, {MathJax fullWidth='false'

\displaystyle a_{1} }] is the first term, and {MathJax fullWidth='false'

\displaystyle d }] is the common difference.

## Answer and Explanation: 1

Become a Study.com member to unlock this answer! Create your account

View this answer1. Consider the given sequence.

$$10,22,34,46,......... $$

2. Identify the first term {eq}\displaystyle a_{1} {/eq} and the common difference...

See full answer below.

#### Ask a question

Our experts can answer your tough homework and study questions.

Ask a question Ask a question#### Search Answers

#### Learn more about this topic:

from

Chapter 21 / Lesson 4Learn the Arithmetic sequence formula and meaning. Discover how to find the common difference and read arithmetic sequence examples.